| Title:
|
Extensions of covariantly finite subcategories revisited (English) |
| Author:
|
He, Jing |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
69 |
| Issue:
|
2 |
| Year:
|
2019 |
| Pages:
|
403-415 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Extriangulated categories were introduced by Nakaoka and Palu by extracting the similarities between exact categories and triangulated categories. A notion of homotopy cartesian square in an extriangulated category is defined in this article. We prove that in an extriangulated category with enough projective objects, the extension subcategory of two covariantly finite subcategories is covariantly finite. As an application, we give a simultaneous generalization of a result of X. W. Chen (2009) and of a result of R. Gentle, G. Todorov (1996). (English) |
| Keyword:
|
extriangulated category |
| Keyword:
|
covariantly finite subcategory |
| MSC:
|
18E10 |
| MSC:
|
18E30 |
| idZBL:
|
Zbl 07088793 |
| idMR:
|
MR3959953 |
| DOI:
|
10.21136/CMJ.2018.0338-17 |
| . |
| Date available:
|
2019-05-24T08:57:33Z |
| Last updated:
|
2021-07-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147733 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
|
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| . |
